This lesson shows how to find the derivative of functions involving natural logarithm or Ln or ln. Finding the derivative of the ln function follows a set of derivative rule using chain rule, power rule, quotient rule etc. You will also need to expand logarithmic expression using the Properties of Logarithms in order to use the LN rule in finding the derivative of some functions.

00:47 1. d/dx ( ln(2x) )

01:43 2. d/dx ( ln(2x^2 + 1) )

02:44 3. d/dx ( (ln(x))^3 )

04:24 4. f(x) = ( ln √(x+1) )

06:24 5. f(x) = ln [ 9x • (x^2 + 1)^2 ] / [ √(2x^2 – 1) ]

09:19 6. y = x^(√x)

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AP calculus AB and BC